On the critical exponent a of the 5D random-field Ising model

Abstract

We present a complementary estimation of the critical exponent alpha of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result alpha = 0.12(2) is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at D = 5.